Question

How do I do this it’s confusing ?

Answer 1

Hi!


`x^2-10x+45=4x\\ x^2-10x+45-4x=4x-4x\\x^2-10x+45-4x=0\\x^2-14x+45=0\\x^2-5x-9x+45=0\\x(x-5)-9(x-5)=0\\(x-5)(x-9)=0\\x-5=0\quad or\quad x-9=0\\x=5\quad or\quadx=9\\\\The\;solutions\;are\;\boxed{S=\left\{5\;;9\right\}}`